A whole-seller sells half of 200 articles at a profit of 30% and the r

1.	A whole-seller sells half of 200 articles at a profit of 30% and the rest at a profit of 25%. Had all of the articles been sold at a profit of 20%, the total profit would have been Rs. 150 less than earlier profit. The cost price of each article is1). Rs. 102). Rs. 153). Rs. 204). Rs. 30
Answer» Let the cost price of each article be x Total cost price of 200 article = 200x When all of the ARTICLES are sold at a PROFIT of 20%, The profit = 20% of 200x = 40x Further, According to the given INFORMATION, the Whole-seller sells half of 200 articles at a profit of 30% and the rest at a profit of 25% ∴ He sells 100 articles at 30% profit and 100 articles at 25% profit Thus, total profit = (30% of 100X) + (25% of 100x) = 30x + 25x = 55x ? The difference of these two profits is 150 ∴ 55x – 40x = 150 15x = 150 x = 10 Hence the cost price of each article is Rs. 10

A whole-seller sells half of 200 articles at a profit of 30% and the rest at a profit of 25%. Had all of the articles been sold at a profit of 20%, the total profit would have been Rs. 150 less than earlier profit. The cost price of each article is1). Rs. 102). Rs. 153). Rs. 204). Rs. 30

Answer»

Let the cost price of each article be x

Total cost price of 200 article = 200x

When all of the ARTICLES are sold at a PROFIT of 20%,

The profit = 20% of 200x = 40x

Further, According to the given INFORMATION, the Whole-seller sells half of 200 articles at a profit of 30% and the rest at a profit of 25%

∴ He sells 100 articles at 30% profit and 100 articles at 25% profit

Thus, total profit = (30% of 100X) + (25% of 100x) = 30x + 25x = 55x

? The difference of these two profits is 150

∴ 55x – 40x = 150

15x = 150

x = 10

Hence the cost price of each article is Rs. 10

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